Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-08-10
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
We study the Dirac equation with Coulomb-type vector and scalar potentials in D + 1 dimensions from an su(1, 1) algebraic approach. The generators of this algebra are constructed by using the Schr\"odinger factorization. The theory of unitary representations for the su(1, 1) Lie algebra allows us to obtain the energy spectrum and the supersymmetric ground state. For the cases where there exists either scalar or vector potential our results are reduced to those obtained by analytical techniques.
Granados Victor D.
Martinez Daniel
Mota Roberto D.
Salazar-Ramírez M.
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